Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 12 - Exponential Functions and Logarithmic Functions - 12.4 Properties of Logarithmic Functions - 12.4 Exercise Set - Page 810: 38


$\log_a x+2\log_ay-3\log_az$

Work Step by Step

Using the properties of logarithms, the given expression, $ \log_a(xy^2z^{-3}) ,$ is equivalent to \begin{array}{l}\require{cancel} \log_a x+\log_ay^2+\log_az^{-3} \\\\= \log_a x+2\log_ay-3\log_az .\end{array}
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